# Cylinder, again

The diameter of the base of a cylinder barrel is 20 inches. If it is 25 inches deep, what is the volume of the cylinder barrel?

Granddad raises a total of 18 black rabbits and white rabbits. If the number of white rabbits is 5 times the number of black rabbits, how many of each type does Granddad have?

To find the answer and 5 other similar questions, please come here

# sum of fractions into sum of amount to find the amount in 1

Granddad raises a total of 18 black rabbits and white rabbits. If the number of black rabbits is 1/5 of the number of white rabbits, how many of each type does Granddad have?

# ratio in word problems

6,000 pounds of concrete consists of cement, sand and gravel in the ratio of 2:3:5. How many pounds of each are in the concrete?

To find the answer to the problem and other 9 similar problems, please visit here to get the worksheet

# how much does the jacket cost?

A pair of pants cost \$75.00 and it costs 2/3 as much as a jacket. How much does the jacket cost?

Matthew weighs 48 pounds. If he 3 /8 as much as his dad, how much does his dad weigh?

The purpose of these problems is to prepare students with standardized testing. To be able to find the amount in 1 is the key to solve all the fraction word problems.

To find the answers and a total of 10 word problems of this type, please visit here

# Share a watermelon

Mom bought one big watermelon for the hot day. My brother was so thirsty that he wanted half of the watermelon. Mom cut the watermelon into two sections and gave my brother the larger section. Then she asked: ”Is this half of the watermelon that you wanted?” My brother said: “yes, yes. ”

“No. When a watermelon is cut into halves, your section and your brother’s should be the same big.”

“Oh! Half a watermelon means that the two sections of the watermelon are the same. Brother, next time, I will make sure that mom cuts the watermelon into two same sections so that you and I each can have a section of the same big.”

# cutting a stick

Can you solve this problem?

1/8 of a stick is cut off. If If another stick that is 15 inches long is glued to the remaining part of the first stick, the first stick will be 1/2 longer than its original length. What is the original length of the first stick?

In this problem, you need to find the match between the fractional part and the amount in it ( if you do not know about these terms, please go to Word Problem: Detailed Explanations of Reasoning and Solving Strategies Volumes 11-A, 11-B and 12)

15 inches  not only has covered  1/8 of the stick that is cut off but also makes the  the stick 1/2 longer so we can say that 15 inches match the sum of the fractional parts: 1/8 and 1/2.

We divide the sum of the fractional parts: 1/8+1/2=5/8 into the amount that matches it: 15 inches to find the amount in 1, which is the length of the original stick: ( please go to the books Word Problem: Detailed Explanations of Reasoning and Solving Strategies Volumes 11-A, 11-B and 12 for more detailed explanation):

15÷5/8=24 inches

The original stick is 24 inches.

# Keys and locks

There are 6 keys and 6 locks. At most how many tries are required before it is certain that each lock has found its key?

One answer is as follows: 6 x 6=36 tries ( Is this correct?)

The other answer is as this:

1. Use the 6 keys to try 1 lock at a time and at most 5 tries are required before the lock finds its key. Move the key and lock away from the groups. Now there are 5 locks and 5 keys left.
2. Use the 5 keys to try another lock and at most 4 tries are required before the lock finds its key. Move the second set of key and lock out of the groups. Now there are 4 locks and 4 keys left.
3. Use 4 keys to try another lock and at most 3 tries are required before the lock finds its key. Move the third set of key and lock out of the groups. Now there are only 3 locks and 3 keys left.
4. Use the 3 keys to try another lock and at most 2 tries are required before the lock finds its key. Now more the fourth set of key and lock out of the groups. Now there are only 2 locks and 2 keys left.
5. Use the 2 keys to try one of the remaining locks and at most 1 try is required for the lock to find its key.  Move the 5th set of key and lock out of the groups. Now there are only 1 key and one lock left and they should be one set.

How many tries are there from the above steps?

5+4+3+2+1=15 tries

Of course, the second answer is correct. When you see a verbal problem, do not rush to get  the answer. Always think it through.